What is the Least Common Multiple of 51030 and 51040?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 51030 and 51040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51030 and 51040, than apply into the LCM equation.

GCF(51030,51040) = 10
LCM(51030,51040) = ( 51030 × 51040) / 10
LCM(51030,51040) = 2604571200 / 10
LCM(51030,51040) = 260457120

Least Common Multiple (LCM) of 51030 and 51040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51030 and 51040. First we will calculate the prime factors of 51030 and 51040.

Prime Factorization of 51030

Prime Factorization of 51040

Now multiplying the highest exponent prime factors to calculate the LCM of 51030 and 51040.

LCM(51030,51040) = 2⁵ × 3⁶ × 5¹ × 7¹ × 11¹ × 29¹
LCM(51030,51040) = 260457120